## Common Core State Standards for Mathematics

Grade(s) 4 resources related to the following standard:
Geometry
Draw and identify lines and angles, and classify shapes by properties of their lines and angles.
2. Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.

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This Java applet lets students explore types of quadrilaterals and their diagonal properties by manipulating their vertices. The applet presents a fixed set of diagonals and asks which types of quadrilaterals are constructible, among parallelograms, kites, rhombuses, trapezoids, isosceles trapezoids, squares and rectangles.
Activity, Interactive Media
This lesson and interactive applet lets students explore geometric relationships and make and test conjectures. The main task centers on identifying what distinguishes a rectangle from a more general parallelogram. Students manipulate both figures and look for comparisons. Suggestions for implementation and supplemental tasks are provided.
Interactive Media, Lesson Plans
This website is a resource for teachers and students looking for real world geometry and measurement applications. The website houses a comprehensive catalog of the flags of nations and other entities. The images, descriptions, colors, symbolisms, measurements and proportions are detailed for each flag.
Data Sets
This iOS app is an open-ended tool for exploring a variety of mathematical topics. Learners stretch colored bands around pegs to form line segments and polygons in order to make discoveries about perimeter, area, angles, congruence, and fractions. Users can switch from a 25-peg board to an expanded 150-peg board and fill in the interior of shapes with transparent color.
Interactive Media, Mobile App
Grade Level: K, 1, 2, 3, 4, 5
This web unit offers suggestions for using geoboards to explore the length and area of two-dimensional geometric figures. The introduction describes materials needed, offers discussion and activities for investigating length and area (in particular, Pick's Theorem), and provides sample pages of dot paper to print out. Five lesson plans focus on lines, squares, rectangles, parallelograms, and right triangles, and a short bibliography rounds out the unit.
Activity, Lesson Plans, Unit of Instruction, Reference Materials
Grade Level: 3, 4, 5, 6+
This interactive applet provides students with practice in geometric vocabulary. They are presented with an array of 16 diagrams that illustrate two-dimensional geometric terms, and, one at a time, they must choose the diagram that matches the prompted term. As they progress, a picture behind the array is revealed. Students have the option to play again with a new set of terms.
Activity, Interactive Media
In this activity students apply their knowledge of triangle properties. It asks students to sort three types of triangles based on angle and side comparisons, while ignoring the size and orientation differences. Students can work online with an interactive Flash applet, or on a printed sheet (included). The Teachers' Notes page includes suggestions for implementation, discussion questions, and ideas for extension.
Activity, Interactive Media